19. We shall have occasion to speak not only of Distances, but of Intervals. They may be defined as intermediate spaces. The spaces between the points “A” and “B,” “A” and “C,” “B” and “C,” in [Fig. 6], are Intervals.
SCALE IN RELATIONS
OF POSITIONS
20. Given any relation of positions, the scale may be changed by changing the intervals, provided we make no change of directions. That is well understood.
Before proceeding to the considerations which follow, I must ask the reader to refer to the definitions of Harmony, Balance, and Rhythm which I have given in the Introduction.
THE ORDER OF HARMONY
IN POSITIONS: DIRECTIONS, DISTANCES, INTERVALS
21. All Positions lying in the same direction and at the same distance from a given point, taken as a premise-point, are one. There is no such thing, therefore, as a Harmony of Positions. Positions in Harmony are identical positions. Two or more positions may, however, lie in the same direction from or at the same distance from a given point taken as a premise-point. In that case, the two or more positions, having a direction or a distance in common, are, to that extent, in harmony.
22. What do we mean by Harmony of Directions?
Fig. 7